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Finding the Fourth Proportional to 259.42, 357.80 and 180.74

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Solution

The fourth proportional to 259.42, 357.80 and 180.74 is: 249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 357.80 = 180.74 : x
  2. Step 2: Convert to fraction form
    259.42/357.80 = 180.74/x
  3. Step 3: Cross multiply
    259.42x = 357.80 × 180.74
  4. Step 4: Simplify right side
    259.42x = 64,669.54
  5. Step 5: Solve for x
    x = 64,669.54/259.42
  6. Step 6: Final answer
    x = 249.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.